Which shows a correct order to solve this story problem?

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

================================================================

Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

================================================================

Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

================================================================

Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

This is confusing very confusing for no reason

Aneli [31]

Answer:

I'm pretty sure it's 31

Step-by-step explanation:

perimeter you add all the sides

3 0

2 years ago

At a high school the average grade for the first semester for all subjects was 79.3. Based on this mean , the principal conclude

svet-max [94.6K]

Answer:

That is incorrect. It would be appropriate if the median were 79.3, since the median is the value in the middle (when placing the data in order).

4 0

3 years ago

Help i keep getting negative numbers

Aliun [14]

Answer:
Mean Absolute Deviation (MAD): 1.6

5 0

2 years ago

You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct a

Nostrana [21]

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

$Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3$

$Possible\ Ways = 729$

Hence, there are 729 ways of answering the question

4 0

3 years ago